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Simplifying 2[1 + -2(x + -2)] + 5x = 2(x + 6) + 13 Reorder the terms: 2[1 + -2(-2 + x)] + 5x = 2(x + 6) + 13 2[1 + (-2 * -2 + x * -2)] + 5x = 2(x + 6) + 13 2[1 + (4 + -2x)] + 5x = 2(x + 6) + 13 Combine like terms: 1 + 4 = 5 2[5 + -2x] + 5x = 2(x + 6) + 13 [5 * 2 + -2x * 2] + 5x = 2(x + 6) + 13 [10 + -4x] + 5x = 2(x + 6) + 13 Combine like terms: -4x + 5x = 1x 10 + 1x = 2(x + 6) + 13 Reorder the terms: 10 + 1x = 2(6 + x) + 13 10 + 1x = (6 * 2 + x * 2) + 13 10 + 1x = (12 + 2x) + 13 Reorder the terms: 10 + 1x = 12 + 13 + 2x Combine like terms: 12 + 13 = 25 10 + 1x = 25 + 2x Solving 10 + 1x = 25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 1x + -2x = 25 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = 25 + 0 10 + -1x = 25 Add '-10' to each side of the equation. 10 + -10 + -1x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 25 + -10 -1x = 25 + -10 Combine like terms: 25 + -10 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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